20. Five mark example problem VII

From the top of a tower \(50 \ m\) high, the angles of depression of the top and bottom of a tree are observed to be \(30^{\circ}\) and \(45^{\circ}\) respectively. Find the height of the tree. (\(\sqrt{3} = 1.732\))

 

Answer:

 

The height of the tree \(=\)  

(Note: Enter the number in the first box and the unit (short form) in the second box.)